Numerical Treatment of Retarded Boundary Integral Equations by Sparse Panel Clustering (extended version)

Wendy Kress and Stefan A. Sauter

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Submission date: 27. Sep. 2006 (revised version: June 2007)
Pages: 27
published in: IMA journal of numerical analysis, 28 (2008) 1, p. 162-185 
DOI number (of the published article): 10.1093/imanum/drm021
Bibtex
with the following different title: Numerical treatment of retarded boundary integral equations by sparse panel clustering
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Abstract:
We consider the wave equation in a boundary integral formulation. The discretization in time is done by using convolution quadrature techniques and a Galerkin boundary element method for the spatial discretization. In a previous paper, we have introduced a sparse approximation of the system matrix by cutoff, in order to reduce the storage costs. In this paper, we extend this approach by introducing a panel clustering method to further reduce these costs.